Answer:
BCD = 90˚
ABD = 16˚
CBE = 74˚
ADE = 74˚
AEB = 148˚
DEA = 32˚
Explanation:
BCD: I suppose that’s a rectangle, and all rectangles have four right (90˚) angles.
ABD: alternate interior angles are congruent, so ABD is congruent to BDC (16˚).
CBE: Complementary angles add up to 90˚, so just subtract ABD (16˚) from 90˚ to equal 74˚.
ADE: Same this as CBE for same reason.
AEB: You need to find DEC first for this. To find DEC, add BDC and ACD together to get 32˚, then subtract that from 180˚ to find the answer (148˚). This is because all triangles have a 3 interior angle measure sum of 180˚. (And vertical angles are congruent).
DEA: Subtract AEB from 180˚ because they’re supplementary angles.
Hope this helps :)